677904000 has 256 divisors, whose sum is σ = 2329516800. Its totient is φ = 174182400.

The previous prime is 677903999. The next prime is 677904013. The reversal of 677904000 is 409776.

677904000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1391757 + ... + 1392243.

It is an arithmetic number, because the mean of its divisors is an integer number (9099675).

Almost surely, 2^677904000 is an apocalyptic number.

677904000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164758400).

677904000 is an abundant number, since it is smaller than the sum of its proper divisors (1651612800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

677904000 is a wasteful number, since it uses less digits than its factorization.

677904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 677904000 is about 26036.5896384300. The cubic root of 677904000 is about 878.4614991398.

The spelling of 677904000 in words is "six hundred seventy-seven million, nine hundred four thousand".